### Abstract

This article reports on a post hoc study using a randomised controlled trial with 31,842 students in the Netherlands and an instrument consisting of 21 paired problems. The trial showed a variability in the differences of students’ results in solving contextual mathematical problems with either a descriptive or a depictive representation of the problem situation. In this study the relation between this variability and two task characteristics is investigated: (1) complexity of the task representation; and (2) the content domain of the task. We found indications that differences in performance on descriptive and depictive representations of the problem situation are related to the content domain of the problems. One of the tentative conclusions is that for depicted problems in the domain of measurement and geometry the inferential step from representation of the problem situation to the mathematical problem to be solved is smaller than for word problems.

Original language | English |
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Pages (from-to) | 37-52 |

Journal | Research in Mathematics Education |

Volume | 20 |

Issue number | 1 |

DOIs | |

Publication status | Published - 27 Feb 2018 |

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### Keywords

- contextual mathematics problem
- task characteristics
- word problem

### Cite this

*Research in Mathematics Education*,

*20*(1), 37-52. https://doi.org/10.1080/14794802.2017.1413414

}

*Research in Mathematics Education*, vol. 20, no. 1, pp. 37-52. https://doi.org/10.1080/14794802.2017.1413414

**Word problems versus image-rich problems : an analysis of effects of task characteristics on students’ performance on contextual mathematics problems.** / Hoogland, Kees; Pepin, Birgit; de Koning, Jaap; Bakker, Arthur; Gravemeijer, Koeno.

Research output: Contribution to journal › Article › Academic › peer-review

TY - JOUR

T1 - Word problems versus image-rich problems

T2 - an analysis of effects of task characteristics on students’ performance on contextual mathematics problems

AU - Hoogland, Kees

AU - Pepin, Birgit

AU - de Koning, Jaap

AU - Bakker, Arthur

AU - Gravemeijer, Koeno

PY - 2018/2/27

Y1 - 2018/2/27

N2 - This article reports on a post hoc study using a randomised controlled trial with 31,842 students in the Netherlands and an instrument consisting of 21 paired problems. The trial showed a variability in the differences of students’ results in solving contextual mathematical problems with either a descriptive or a depictive representation of the problem situation. In this study the relation between this variability and two task characteristics is investigated: (1) complexity of the task representation; and (2) the content domain of the task. We found indications that differences in performance on descriptive and depictive representations of the problem situation are related to the content domain of the problems. One of the tentative conclusions is that for depicted problems in the domain of measurement and geometry the inferential step from representation of the problem situation to the mathematical problem to be solved is smaller than for word problems.

AB - This article reports on a post hoc study using a randomised controlled trial with 31,842 students in the Netherlands and an instrument consisting of 21 paired problems. The trial showed a variability in the differences of students’ results in solving contextual mathematical problems with either a descriptive or a depictive representation of the problem situation. In this study the relation between this variability and two task characteristics is investigated: (1) complexity of the task representation; and (2) the content domain of the task. We found indications that differences in performance on descriptive and depictive representations of the problem situation are related to the content domain of the problems. One of the tentative conclusions is that for depicted problems in the domain of measurement and geometry the inferential step from representation of the problem situation to the mathematical problem to be solved is smaller than for word problems.

KW - contextual mathematics problem

KW - task characteristics

KW - word problem

UR - http://www.scopus.com/inward/record.url?scp=85042927619&partnerID=8YFLogxK

U2 - 10.1080/14794802.2017.1413414

DO - 10.1080/14794802.2017.1413414

M3 - Article

VL - 20

SP - 37

EP - 52

JO - Research in Mathematics Education

JF - Research in Mathematics Education

SN - 1479-4802

IS - 1

ER -